Question

At what given time, the angle made by the hour hand and the minute hand is acute.

• A. $4:30$
• B. $6:00$
• C. $9:00$
• D. $5:00$

Answer 1

The correct option is A $4:30$

At 4:30, the angle between the hour hand and the minute hand is less than 90^o and hence is acute.

Whereas, the angle made between the hour hand and the minute hand at 6:00 is 180^o, which is a straight angle.

At 9:00, the angle between the hour hand and the minute hand is 90^o

At 5:00, the angle between the hour hand and the minute hand is more than 90^o, therefore an obtuse angle.